A function fis given, and the indicated transformations are applied to its graph (in thegiven order). Write the equation for the final graph.6f(x) = r", shift upward 3 units and shift 2 units to the right.7. f(x) = Vr; reflect in the Y-axis, shrink vertically by a factor of 2, and shift upward 2%3Dunits.Sf (ar) = |r|; shift to the left 1 unit, stretch vertically by a factor of 3, and shift upward 5units.

Answered: Image /qna-images/answer/a5c30ab2-751a-4e85-8d50-a1f6c7d8e9a5.jpg

Answered: A function fis given, and the indicated…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter5: Solving Systems Of Linear Equations

Section: Chapter Questions

Problem 5CA

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When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal stretch from a vertical stretch?
When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?
A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function f(x)=-5x2+6x+100 (graphed below) represents this situation where x is time and y is the distance off of the ground. A. What would the new function be? What kind of transformation is this? B. Would you still use the same domain and range? Why or why not?
The population of a town can be modelled by the function P(t)= 20 (4t+3)/(2t+5), where P is the population, in thousands, and t is the time, in years, after the year 2000 (t > 0). Clearly label all cases (a, b, c,…). Answers must be clear to read and show all steps. Use appropriate units for your answers. How is the graph of the entire function different from the graph for the real-life situation?
a. When is the function represented by the graph increasing? That is, when is the motorcycle’s speed increasing? Select all that apply. Answer choices: 1) Between 0 minutes and 2 minutes 2) Between 2 minutes and 4 minutes 3) Between 4 minutes and 5 minutes 4) Between 5 minutes and 6 minutes Question 2 b. When is the function represented by the graph decreasing? That is, when is the motorcycle’s speed decreasing? Select all that apply. Answer choices: 1) Between 0 minutes and 2 minutes 2) Between 2 minutes and 4 minutes 3) Between 4 minutes and 5 minutes 4) Between 5 minutes and 6 minutes Question 3 c. When is the function represented by the graph constant? That is, when is the motorcycle’s speed constant. Select all that apply. Answer choices: 1) Between 0 minutes and 2 minutes 2) Between 2 minutes and 4 minutes 3) Between 4 minutes and 5 minutes 4) Between 5 minutes and 6 minutes
Using the parent function f(x)=|x| which of the following describes the transformation of y=2|x-3|-5? A.Left 3 units,vertical compression by 2, up 5 units B.Left 3 units ,vertical stretch by 2 , down 5 units C. Right 3 units ,vertical stretch by 2 down 5 units D.Right 3 units ,vertical compression by 2, down 5 units
Student Loans Data for selected years from 2011and projected to 2023 can be used to show that thebalance of federal direct student loans y, in billions ofdollars, is related to the number of years after 2010,x, by the function y = 130.7x + 699.7.a. Graph the function for x-values corresponding2010 to 2025.b. Find the value of y when x is 13.c. What does this function predict the balance offederal direct student loans will be in 2029?(Source: U.S. Office of Management and Budget)
1. The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979)", where t= 0 represents the year 1990.(a) Describe the transformation of the common function f(x) =x? Then sketch the graph overthe interval 0 < t < 19.(b) Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer.(c) Use the model from part (b) to predict the mortgage debt in the year 2014
Attached is the graph of the function g(x) = |x| What would the graph of kg(x) when -4 < k < -1 look like?
The graph of the parent function p(x) = x2 passes through the point R(13, 169). The graph of p is transformed such that the new graph represents the function f(x) = (x + 6)2 − 10. If this transformation translates point R to a new location R', what are the coordinates of R'?
The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990 through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979)2, where t = 0 represents the year 1990. Describe the transformation of the common function f(x) = x2. Then sketch the graph over the interval 0 t 19. Rewrite the function so that t = 0 represents the year 2000. Explain how you got your answer. Use the model from part (b) to predict the mortgage debt in the year 2014.
Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. R = −(1/4)x3 + 3x2 + 9, 0 ≤ x ≤ 6 (x, R) =

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